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19 November, 16:06

Anja simplified the expression 10x^-5/-5x^10 to 15/x^15. What mistake did anja make?

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  1. 19 November, 18:06
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    Well she made the mistake of dividing the coefficient and the variable with the exponent wrong. we can look at this like

    (10 * x^-5) / (-5 * x^10)

    we can actually factor out the 10 and the 1/-5 ans get 2 fractions to see this clearer.

    (10 / - 5) * (x^-5 / x^10)

    we can clearly say

    10/-5 = - 2

    now the other one. when stuff that has exponents, as long as they have the same base we just subtract the exponents. so:

    (x^-5 / x^10) =

    x^ (-5 - 10) =

    x^-15

    put those 2 together

    (-2) * (x^-15)

    -2x^-15
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